Basic Math Examples

$\sqrt{8} \cdot \sqrt{24}$

Step 1

Combine using the product rule for radicals.

$\sqrt{8 \cdot 24}$

Step 2

Multiply $8$ by $24$ .

$\sqrt{192}$

Step 3

Rewrite $192$ as $8^{2} \cdot 3$ .

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Step 3.1

Factor $64$ out of $192$ .

$\sqrt{64 (3)}$

Step 3.2

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 3}$

$\sqrt{8^{2} \cdot 3}$

Step 4

Pull terms out from under the radical.

$8 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3}$

Decimal Form:

$13.85640646 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$